0=25x^2+15x+10

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Solution for 0=25x^2+15x+10 equation:


Simplifying
0 = 25x2 + 15x + 10

Reorder the terms:
0 = 10 + 15x + 25x2

Solving
0 = 10 + 15x + 25x2

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + -15x + -25x2 = 10 + 15x + 25x2 + -10 + -15x + -25x2

Reorder the terms:
-10 + -15x + -25x2 = 10 + -10 + 15x + -15x + 25x2 + -25x2

Combine like terms: 10 + -10 = 0
-10 + -15x + -25x2 = 0 + 15x + -15x + 25x2 + -25x2
-10 + -15x + -25x2 = 15x + -15x + 25x2 + -25x2

Combine like terms: 15x + -15x = 0
-10 + -15x + -25x2 = 0 + 25x2 + -25x2
-10 + -15x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-10 + -15x + -25x2 = 0

Factor out the Greatest Common Factor (GCF), '-5'.
-5(2 + 3x + 5x2) = 0

Ignore the factor -5.

Subproblem 1

Set the factor '(2 + 3x + 5x2)' equal to zero and attempt to solve: Simplifying 2 + 3x + 5x2 = 0 Solving 2 + 3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.6x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.6x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.6x + x2 = 0 + -0.4 0.6x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.6x + x2 = -0.4 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.4 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.4 + 0.09 Combine like terms: -0.4 + 0.09 = -0.31 0.09 + 0.6x + x2 = -0.31 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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